41 - 45 of 45 Questions
# | Question | Ans |
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41. |
If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\) = m + n √ 6, A. 1, − 2 B. − 2, n = 1 C. \(\frac{-2}{5}\), 1 D. \(\frac{2}{3}\) |
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42. |
If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β A. \(\frac{-5}{3}\) B. \(\frac{-2}{3}\) C. \(\frac{1}{2}\) D. \(\frac{5}{2}\) Detailed Solution1/α + 1/β = β+α/αβ 3x2 + 5x - 2 = 0 x2 + 5x/3 - 2/3 = 0 αβ = -2/3 β+α = -5/3 Thus; β+α/αβ = -2/3 -2/3 = -5/2 There is an explanation video available below. |
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43. |
Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2 A. 1.03 B. 0.07 C. 0.03 D. 1.0 |
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44. |
Evaluate 1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\)) A. 4 B. 3 C. \(\frac{22}{3}\) D. 3\(\frac{2}{3}\) Detailed Solution1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))1 − (\(\frac{1}{5}\) x \(\frac{5}{3}\)) + (5 + \(\frac{5}{3}\)) 1 − \(\frac{1}{3}\) + \(\frac{20}{3}\) = \(\frac{22}{3}\) There is an explanation video available below. |
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45. |
What is the product of 2x2 − x + 1 and 3 − 2x A. 4x3 − 8x2 + 5x + 3 B. −4x3 + 8x2 − 5x + 3 C. −4x3 − 8x2 + 5x + 3 D. 4x3 + 8x2 − 5x + 3 |
41. |
If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\) = m + n √ 6, A. 1, − 2 B. − 2, n = 1 C. \(\frac{-2}{5}\), 1 D. \(\frac{2}{3}\) |
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42. |
If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β A. \(\frac{-5}{3}\) B. \(\frac{-2}{3}\) C. \(\frac{1}{2}\) D. \(\frac{5}{2}\) Detailed Solution1/α + 1/β = β+α/αβ 3x2 + 5x - 2 = 0 x2 + 5x/3 - 2/3 = 0 αβ = -2/3 β+α = -5/3 Thus; β+α/αβ = -2/3 -2/3 = -5/2 There is an explanation video available below. |
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43. |
Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2 A. 1.03 B. 0.07 C. 0.03 D. 1.0 |
44. |
Evaluate 1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\)) A. 4 B. 3 C. \(\frac{22}{3}\) D. 3\(\frac{2}{3}\) Detailed Solution1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))1 − (\(\frac{1}{5}\) x \(\frac{5}{3}\)) + (5 + \(\frac{5}{3}\)) 1 − \(\frac{1}{3}\) + \(\frac{20}{3}\) = \(\frac{22}{3}\) There is an explanation video available below. |
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45. |
What is the product of 2x2 − x + 1 and 3 − 2x A. 4x3 − 8x2 + 5x + 3 B. −4x3 + 8x2 − 5x + 3 C. −4x3 − 8x2 + 5x + 3 D. 4x3 + 8x2 − 5x + 3 |